a. In the first approach, we consider only the number of configurations of the central water molecule. Notice that the oxygen atom is surrounded by two hydrogens that are close (the covalently bound ones) and two hydrogens that are further away (the hydrogen-bonded ones arising from neighboring water molecules). There are four directions these hydrogens can be, pointing to the four corners of a tetrahedron. One way of counting the number of configurations is thus to count how many ways there are to place 2 items (the short covalent bonds) in 4 containers (the four corners of the tetrahedron). hydrogen bond охуден- hydrogen By sketching either figures or using math, show that there are 6 configurations if only the central water molecule is considered. b. Since the estimate of part a is on a per molecule basis, one estimates that the total number of configurations in a crystal with N water molecules is 6N. Use this result to find an estimate of the residual entropy of 1 mole of ice as temperature approaches zero Kelvin. This value provides one estimate of the expected residual molar entropy of ice arising from H-bonding disorder.

Organic Chemistry: A Guided Inquiry
2nd Edition
ISBN:9780618974122
Author:Andrei Straumanis
Publisher:Andrei Straumanis
Chapter18: Aromaticity
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Problem 15E
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a. In the first approach, we consider only the number of configurations of the central water molecule.
Notice that the oxygen atom is surrounded by two hydrogens that are close (the covalently bound ones)
and two hydrogens that are further away (the hydrogen-bonded ones arising from neighboring water
molecules). There are four directions these hydrogens can be, pointing to the four corners of a
tetrahedron. One way of counting the number of configurations is thus to count how many ways there are
to place 2 items (the short covalent bonds) in 4 containers (the four corners of the tetrahedron).
hydrogen
bond
`oxygen
hydrogen
Figares Ppkal ilogref the Ce darlend sen 201
By sketching either figures or using math, show that there are 6 configurations if only the central water
molecule is considered.
b. Since the estimate of part a is on a per molecule basis, one estimates that the total number of
configurations in a crystal with N water molecules is 6N. Use this result to find an estimate of the residual
entropy of 1 mole of ice as temperature approaches zero Kelvin. This value provides one estimate of the
expected residual molar entropy of ice arising from H-bonding disorder.
Transcribed Image Text:a. In the first approach, we consider only the number of configurations of the central water molecule. Notice that the oxygen atom is surrounded by two hydrogens that are close (the covalently bound ones) and two hydrogens that are further away (the hydrogen-bonded ones arising from neighboring water molecules). There are four directions these hydrogens can be, pointing to the four corners of a tetrahedron. One way of counting the number of configurations is thus to count how many ways there are to place 2 items (the short covalent bonds) in 4 containers (the four corners of the tetrahedron). hydrogen bond `oxygen hydrogen Figares Ppkal ilogref the Ce darlend sen 201 By sketching either figures or using math, show that there are 6 configurations if only the central water molecule is considered. b. Since the estimate of part a is on a per molecule basis, one estimates that the total number of configurations in a crystal with N water molecules is 6N. Use this result to find an estimate of the residual entropy of 1 mole of ice as temperature approaches zero Kelvin. This value provides one estimate of the expected residual molar entropy of ice arising from H-bonding disorder.
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